Superzeta functions on function fields

IF 1.2 3区数学 Q1 MATHEMATICS

Finite Fields and Their Applications Pub Date : 2024-02-01 DOI:10.1016/j.ffa.2024.102367

Kajtaz H. Bllaca , Jawher Khmiri , Kamel Mazhouda , Bouchaïb Sodaïgui

引用次数: 0

Abstract

We study the superzeta functions on function fields as constructed by Voros (see [11, Chapter 10, p.91]) in the case of the classical Riemann zeta function. Furthermore, we study special values of those functions, relate them to the Li coefficients, deduce some interesting summation formulas, and prove some results about the regularized product of the zeros of zeta functions on function fields.

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函数场上的超兹塔函数

我们在经典黎曼zeta函数的情况下，研究沃罗斯构造的函数场上的超zeta函数（见[11，第10章，第91页]）。此外，我们还研究了这些函数的特殊值，将它们与李系数联系起来，推导出一些有趣的求和公式，并证明了关于函数场上zeta函数零点的正则积的一些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Finite Fields and Their Applications 数学-数学

CiteScore

2.00

自引率

20.00%

发文量

133

审稿时长

6-12 weeks

期刊介绍： Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering. For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods. The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.